/* Copyright (c) 2023, Google LLC * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ #include #include #include "./address.h" #include "./merkle.h" #include "./params.h" #include "./thash.h" #include "./wots.h" void spx_treehash(uint8_t out_pk[SPX_N], const uint8_t sk_seed[SPX_N], uint32_t i /*target node index*/, uint32_t z /*target node height*/, const uint8_t pk_seed[SPX_N], uint8_t addr[32]) { BSSL_CHECK(z <= SPX_TREE_HEIGHT); BSSL_CHECK(i < (uint32_t)(1 << (SPX_TREE_HEIGHT - z))); if (z == 0) { spx_set_type(addr, SPX_ADDR_TYPE_WOTS); spx_set_keypair_addr(addr, i); spx_wots_pk_gen(out_pk, sk_seed, pk_seed, addr); } else { // Stores left node and right node. uint8_t nodes[2 * SPX_N]; spx_treehash(nodes, sk_seed, 2 * i, z - 1, pk_seed, addr); spx_treehash(nodes + SPX_N, sk_seed, 2 * i + 1, z - 1, pk_seed, addr); spx_set_type(addr, SPX_ADDR_TYPE_HASHTREE); spx_set_tree_height(addr, z); spx_set_tree_index(addr, i); spx_thash_h(out_pk, nodes, pk_seed, addr); } } void spx_xmss_sign(uint8_t *sig, const uint8_t msg[SPX_N], unsigned int idx, const uint8_t sk_seed[SPX_N], const uint8_t pk_seed[SPX_N], uint8_t addr[32]) { // Build authentication path for (size_t j = 0; j < SPX_TREE_HEIGHT; ++j) { unsigned int k = (idx >> j) ^ 1; spx_treehash(sig + SPX_WOTS_BYTES + j * SPX_N, sk_seed, k, j, pk_seed, addr); } // Compute WOTS+ signature spx_set_type(addr, SPX_ADDR_TYPE_WOTS); spx_set_keypair_addr(addr, idx); spx_wots_sign(sig, msg, sk_seed, pk_seed, addr); } void spx_xmss_pk_from_sig(uint8_t *root, const uint8_t *xmss_sig, unsigned int idx, const uint8_t msg[SPX_N], const uint8_t pk_seed[SPX_N], uint8_t addr[32]) { // Stores node[0] and node[1] from Algorithm 10 uint8_t node[2 * SPX_N]; uint8_t tmp[2 * SPX_N]; spx_set_type(addr, SPX_ADDR_TYPE_WOTS); spx_set_keypair_addr(addr, idx); spx_wots_pk_from_sig(node, xmss_sig, msg, pk_seed, addr); const uint8_t *auth = xmss_sig + SPX_WOTS_BYTES; spx_set_type(addr, SPX_ADDR_TYPE_HASHTREE); spx_set_tree_index(addr, idx); for (size_t k = 0; k < SPX_TREE_HEIGHT; ++k) { spx_set_tree_height(addr, k + 1); // Is even if (((idx >> k) & 1) == 0) { spx_set_tree_index(addr, spx_get_tree_index(addr) >> 1); memcpy(tmp, node, SPX_N); memcpy(tmp + SPX_N, auth + k * SPX_N, SPX_N); spx_thash_h(node + SPX_N, tmp, pk_seed, addr); } else { spx_set_tree_index(addr, (spx_get_tree_index(addr) - 1) >> 1); memcpy(tmp, auth + k * SPX_N, SPX_N); memcpy(tmp + SPX_N, node, SPX_N); spx_thash_h(node + SPX_N, tmp, pk_seed, addr); } memcpy(node, node + SPX_N, SPX_N); } memcpy(root, node, SPX_N); } void spx_ht_sign(uint8_t *sig, const uint8_t message[SPX_N], uint64_t idx_tree, uint32_t idx_leaf, const uint8_t sk_seed[SPX_N], const uint8_t pk_seed[SPX_N]) { uint8_t addr[32] = {0}; spx_set_tree_addr(addr, idx_tree); // Layer 0 uint8_t sig_tmp[SPX_XMSS_BYTES]; spx_xmss_sign(sig_tmp, message, idx_leaf, sk_seed, pk_seed, addr); memcpy(sig, sig_tmp, sizeof(sig_tmp)); uint8_t root[SPX_N]; spx_xmss_pk_from_sig(root, sig_tmp, idx_leaf, message, pk_seed, addr); // All other layers for (size_t j = 1; j < SPX_D; ++j) { idx_leaf = idx_tree % (1 << SPX_TREE_HEIGHT); idx_tree = idx_tree >> SPX_TREE_HEIGHT; spx_set_layer_addr(addr, j); spx_set_tree_addr(addr, idx_tree); spx_xmss_sign(sig_tmp, root, idx_leaf, sk_seed, pk_seed, addr); memcpy(sig + j * SPX_XMSS_BYTES, sig_tmp, sizeof(sig_tmp)); if (j < (SPX_D - 1)) { spx_xmss_pk_from_sig(root, sig_tmp, idx_leaf, root, pk_seed, addr); } } } int spx_ht_verify(const uint8_t sig[SPX_D * SPX_XMSS_BYTES], const uint8_t message[SPX_N], uint64_t idx_tree, uint32_t idx_leaf, const uint8_t pk_root[SPX_N], const uint8_t pk_seed[SPX_N]) { uint8_t addr[32] = {0}; spx_set_tree_addr(addr, idx_tree); uint8_t sig_tmp[SPX_XMSS_BYTES]; memcpy(sig_tmp, sig, sizeof(sig_tmp)); uint8_t node[SPX_N]; spx_xmss_pk_from_sig(node, sig_tmp, idx_leaf, message, pk_seed, addr); for (size_t j = 1; j < SPX_D; ++j) { idx_leaf = idx_tree % (1 << SPX_TREE_HEIGHT); idx_tree = idx_tree >> SPX_TREE_HEIGHT; spx_set_layer_addr(addr, j); spx_set_tree_addr(addr, idx_tree); // Get jth XMSS signature memcpy(sig_tmp, sig + j * SPX_XMSS_BYTES, sizeof(sig_tmp)); spx_xmss_pk_from_sig(node, sig_tmp, idx_leaf, node, pk_seed, addr); } return memcmp(node, pk_root, SPX_N) == 0; }